Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424h |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-27958592323584 = -1 · 214 · 312 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15829,812941] |
[a1,a2,a3,a4,a6] |
Generators |
[-790:9477:8] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
5.4046275654516 |
L(r)(E,1)/r! |
Ω |
0.65510535328924 |
Real period |
R |
2.0625032059021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dg1 2964f1 |
Quadratic twists by: -4 8 |